Local Stability Analysis of an SVIR Epidemic Model
In this paper, we present an SVIR epidemic model with deadly deseases. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The local stability of the disease free and endemic equilibrium exists when the basic r...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2017-11-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| Subjects: | |
| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4388 |
| _version_ | 1811337828677713920 |
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| author | Joko Harianto |
| author_facet | Joko Harianto |
| author_sort | Joko Harianto |
| collection | DOAJ |
| description | In this paper, we present an SVIR epidemic model with deadly deseases. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The local stability of the disease free and endemic equilibrium exists when the basic reproduction number less or greater than unity, respectively. If the value of R0 less than one then the desease free equilibrium is locally stable, and if its exceeds, the endemic equilibrium is locally stable. The numerical results are presented for illustration. |
| first_indexed | 2024-04-13T18:01:35Z |
| format | Article |
| id | doaj.art-4ee1ff5f5dfa451a86b0878d452cbaf0 |
| institution | Directory Open Access Journal |
| issn | 2086-0382 2477-3344 |
| language | English |
| last_indexed | 2024-04-13T18:01:35Z |
| publishDate | 2017-11-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj.art-4ee1ff5f5dfa451a86b0878d452cbaf02022-12-22T02:36:14ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442017-11-0151202810.18860/ca.v5i1.43883497Local Stability Analysis of an SVIR Epidemic ModelJoko Harianto0Universitas CenderawasihIn this paper, we present an SVIR epidemic model with deadly deseases. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The local stability of the disease free and endemic equilibrium exists when the basic reproduction number less or greater than unity, respectively. If the value of R0 less than one then the desease free equilibrium is locally stable, and if its exceeds, the endemic equilibrium is locally stable. The numerical results are presented for illustration.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4388applied mathematics |
| spellingShingle | Joko Harianto Local Stability Analysis of an SVIR Epidemic Model Cauchy: Jurnal Matematika Murni dan Aplikasi applied mathematics |
| title | Local Stability Analysis of an SVIR Epidemic Model |
| title_full | Local Stability Analysis of an SVIR Epidemic Model |
| title_fullStr | Local Stability Analysis of an SVIR Epidemic Model |
| title_full_unstemmed | Local Stability Analysis of an SVIR Epidemic Model |
| title_short | Local Stability Analysis of an SVIR Epidemic Model |
| title_sort | local stability analysis of an svir epidemic model |
| topic | applied mathematics |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/4388 |
| work_keys_str_mv | AT jokoharianto localstabilityanalysisofansvirepidemicmodel |